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BITSAT2017MathematicsArea Under CurvesActual

The area enclosed by the curves y = x 3 and y = x is

Options

  1. A5 3   sq   units
  2. B5 4   sq   units
  3. C5 12   sq   units
  4. D12 5   sq   units

Correct answer

C. 5 12   sq   units

Step-by-step solution

Since, the intersection of two curves y = x 3 and y = x are x = 0 and x = 1 ∴   A = ∫ 0 1 x 3 - x d x = x 4 4 - 2 x 3 / 2 3 0 1 = 1 4 - 2 3 = 5 12   sq   units

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